Title :
A result on the existence of quadratic Lyapunov functions for state-dependent switched systems with uncertainty
Author :
King, Christopher K. ; Griggs, Wynita M. ; Shorten, Robert N.
Author_Institution :
Dept. of Math., Northeastern Univ., Boston, MA, USA
Abstract :
Recent results on quadratic stability of state-dependent switched linear systems are reviewed and applied to the problem of state-dependent switching with parameter uncertainty. Several examples are provided to illustrate the method, both as a means of determining stability of such systems, and also as a tool for designing stable switched systems in the presence of uncertainty.
Keywords :
Lyapunov methods; stability; time-varying systems; uncertain systems; parameter uncertainty; quadratic Lyapunov functions; quadratic stability; stable switched systems; state-dependent switched linear systems; state-dependent switched systems; state-dependent switching; Lyapunov method; Stability criteria; Switched systems; Switches; Uncertainty; Vectors;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5717197
